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Finding the Third Proportional to 3,150.56 and 3,408.75

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Solution

The third proportional to 3,150.56 and 3,408.75 is: 3,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.56 : 3,408.75 = 3,408.75 : x
  2. Step 2: Convert to fraction form
    3,150.56/3,408.75 = 3,408.75/x
  3. Step 3: Cross multiply
    3,150.56x = 3,408.75 × 3,408.75
  4. Step 4: Simplify right side
    3,150.56x = 11,619,576.56
  5. Step 5: Solve for x
    x = 11,619,576.56/3,150.56
  6. Step 6: Final answer
    x = 3,688.10

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.